There are multinational corporations with heavy presence in Europe, that run their whole business on Microsoft cloud, including keeping and processing there privacy-sensitive data, business-critical data and medical data, and yes, that includes using some of this data with LLMs - hosted on Azure. Companies of this size cannot ignore regulatory compliance and hope no one notices. This only works because MS figured out how to keep it compliant.
Point being, if there are business consequences, you'll be better off using Azure-hosted LLMs than running a local model yourself - they're just better than you or me at this. The only question is, whether you can afford it.